GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 13 Oct 2019, 18:34

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

AD is the longest side of the right triangle ABD shown in the figure.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
AD is the longest side of the right triangle ABD shown in the figure.  [#permalink]

Show Tags

New post Updated on: 15 Jul 2019, 04:14
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (01:28) correct 20% (02:00) wrong based on 25 sessions

HideShow timer Statistics


Originally posted by Bunuel on 09 Oct 2018, 21:39.
Last edited by SajjadAhmad on 15 Jul 2019, 04:14, edited 1 time in total.
Added Source
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2974
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: AD is the longest side of the right triangle ABD shown in the figure.  [#permalink]

Show Tags

New post 10 Oct 2018, 02:28
Bunuel wrote:
Image
AD is the longest side of the right triangle ABD shown in the figure. What is the length of longest side of ∆ABC ?

(A) 2
(B) 3
(C) √41
(D) 9
(E) 41


Attachment:
triangle.jpg


For Ad to be the longest side of right triangle, angle B must be 90º because the side opposite to the biggest angle is biggest

i.e. Ac = Hypotenuse of triangle ABC \(= √(4^2+5^2) = √41\)

Answer: Option C
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7940
Re: AD is the longest side of the right triangle ABD shown in the figure.  [#permalink]

Show Tags

New post 10 Oct 2018, 02:42
Bunuel wrote:
Image
AD is the longest side of the right triangle ABD shown in the figure. What is the length of longest side of ∆ABC ?

(A) 2
(B) 3
(C) √41
(D) 9
(E) 41


Attachment:
triangle.jpg


1. Two ways...
A) geometry..
ABD is a right angled triangle and AD is biggest side so, angle ABD is 90...
∆ABC is also a right angled triangle, so \(AC^2=AB^2+BC^2=4^2+5^2+16+25=41.....AC=√41\)

B) choices ..
Even if ABC was not a right angled triangle, only one choice would have fit in..
Since AC is the longest side and other two are 4 and 5 , \(AC\geq{5}\)
Also AC<AB+BC.....AC<4+5.....AC<9
Only √41 fits in
_________________
GMAT Club Bot
Re: AD is the longest side of the right triangle ABD shown in the figure.   [#permalink] 10 Oct 2018, 02:42
Display posts from previous: Sort by

AD is the longest side of the right triangle ABD shown in the figure.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne